Radical Expressions And Rational Exponents Page 2
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35.6 Radical Expressions and Rational Exponents
Algebra 2
3
5
Example 4: Rewrite the expression
32
in radical form two different ways. Then pick the easier of the two
to simplify.
Example 5: Simplify the following expressions.
4
2
3
a)
8
b)
27
3
The rules for exponents also work for rational exponents.
Review: Exponent Rules
Negative Exponents
_______________
Power of a Power
_______________
Power of a Product
_______________
Power of a Quotient
_______________
Product of a Power
_______________
Quotient of a Power
_______________
Example 6: Simplify the following expressions.
1
3
3
8
x
1
1
7
2
2
a)
b)
c)
25
25
64
4
4
3
27
3
16
4
1
1
3
2
2
d)
e)
4
x
9
x
f)
81
4
5
16
4
( )
−
1
4
4
1
2
5
5
5
3
5
3
3
8
216
216
g)
3
3
h)
i)
5 - 2
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